Production function: Difference between revisions
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[[Production]] function Y = F (K, L) describe the relationship between inputs capital (K) and labor (L) to the size of the manufactured [[product]] (s). | [[Production]] function Y = F (K, L) describe the relationship between inputs capital (K) and labor (L) to the size of the manufactured [[product]] (s). | ||
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'''X = f (L, K), ceteris paribus''' | '''X = f (L, K), ceteris paribus''' | ||
* Where: | * Where: | ||
** L, K - size of each of the factors of production used, | ** L, K - size of each of the [[factors of production]] used, | ||
** X-maximum production possible within a specified time using the specified amount and combinations of the factors of production. | ** X-maximum production possible within a specified time using the specified amount and combinations of the factors of production. | ||
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Production function shows technically possible production volume, which can be achieved at any given time using the inputs of a certain size and structure. The specified input structure is called: [[method]] of production. If only the size of the inputs will be increased, with unchanged production method, we will have to deal with the increase in the scale of production while maintaining unchanged production method. | Production function shows technically possible production volume, which can be achieved at any given time using the inputs of a certain size and structure. The specified input structure is called: [[method]] of production. If only the size of the inputs will be increased, with unchanged production method, we will have to deal with the increase in the scale of production while maintaining unchanged production method. | ||
Each level of production can be achieved using different production methods. Therefore, important for the [[company]] becomes to specify such a combination of factors of production to achieve optimal level of technical [[efficiency]]. | Each level of production can be achieved using different production methods. Therefore, important for the [[company]] becomes to specify such a combination of factors of production to achieve optimal level of technical [[efficiency]]. | ||
{{infobox5|list1={{i5link|a=[[Costs of production]]}} — {{i5link|a=[[Isoquant]]}} — {{i5link|a=[[Cellular manufacturing]]}} — {{i5link|a=[[Cost of production]]}} — {{i5link|a=[[Tool management]]}} — {{i5link|a=[[Factor of production]]}} — {{i5link|a=[[Effective demand]]}} — {{i5link|a=[[ABC method]]}} — {{i5link|a=[[Material flow execution function]]}} }} | |||
==References== | ==References== | ||
* Kleindorfer, P. R., Singhal, K., & Wassenhove, L. N. (2005). ''[http://www.icesi.edu.co/blogs/semillerosi3/files/2013/12/06-04-PK.pdf Sustainable operations management]''. Production and operations [[management]], 14(4), 482-492. | * Kleindorfer, P. R., Singhal, K., & Wassenhove, L. N. (2005). ''[http://www.icesi.edu.co/blogs/semillerosi3/files/2013/12/06-04-PK.pdf Sustainable operations management]''. Production and operations [[management]], 14(4), 482-492. | ||
[[Category:Microeconomics]] | [[Category:Microeconomics]] | ||
[[Category:Production management]] | [[Category:Production management]] | ||
[[pl:Funkcja produkcji]] | [[pl:Funkcja produkcji]] | ||
Latest revision as of 02:45, 18 November 2023
Production function Y = F (K, L) describe the relationship between inputs capital (K) and labor (L) to the size of the manufactured product (s).
Assuming there are only two production factors L and K, function is:
X = f (L, K), ceteris paribus
- Where:
- L, K - size of each of the factors of production used,
- X-maximum production possible within a specified time using the specified amount and combinations of the factors of production.
Assumptions:
- For each K, L > = 0 F (K, 0) = F (0, 1) = 0
Both K and L are necessary in the production process.
- For each K, L > 0 lim F (K, L) = lim F (K, L) = + &infin,
With very large capital and non-zero work and very large work and a non-zero capital corresponds to the very large size of the manufactured product.
- The marginal product of capital (MPC) and marginal product of labor (MPL), is a relationship of product increment to increment of capital (MPK) or work needed (MPL).
If MPL and MPC > 0, then:
- The marginal products of each of the factors of production (K, L) are positive.
- If K is increasing (decreasing) and L = constans then Y rises (declines), and if L is increasing (decreasing) and K = constans then Y grows (decreases).
Interpretation
Production function shows technically possible production volume, which can be achieved at any given time using the inputs of a certain size and structure. The specified input structure is called: method of production. If only the size of the inputs will be increased, with unchanged production method, we will have to deal with the increase in the scale of production while maintaining unchanged production method. Each level of production can be achieved using different production methods. Therefore, important for the company becomes to specify such a combination of factors of production to achieve optimal level of technical efficiency.
| Production function — recommended articles |
| Costs of production — Isoquant — Cellular manufacturing — Cost of production — Tool management — Factor of production — Effective demand — ABC method — Material flow execution function |
References
- Kleindorfer, P. R., Singhal, K., & Wassenhove, L. N. (2005). Sustainable operations management. Production and operations management, 14(4), 482-492.
